Abstract
In this note, some of the fundamental theorems concerning the automatic continuity of positive linear functionals and positive linear operators (see [9,14,21]) as well as certain uniform boundedness type theorems (see [5,13,15,19]) will be extended to derive various continuity properties of (even discontinuous) sublinear operators from some metrizable topological vector space to some ordered topological vector space.
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Neumann, M. Continuity of sublinear operators on F-spaces. Manuscripta Math 26, 37–61 (1978). https://doi.org/10.1007/BF01167966
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DOI: https://doi.org/10.1007/BF01167966